ANNALI DELL'UNIVERSITA' DI FERRARA

, Volume 57, Issue 1, pp 1–16

Coupled coincidence point theorems in ordered metric spaces

Authors

  • Binayak S. Choudhury
    • Department of MathematicsBengal Engineering and Science University
    • Department of MathematicsBengal Institute of Technology
  • Amaresh Kundu
    • Department of MathematicsSiliguri Institute of Technology
Article

DOI: 10.1007/s11565-011-0117-5

Cite this article as:
Choudhury, B.S., Metiya, N. & Kundu, A. Ann Univ Ferrara (2011) 57: 1. doi:10.1007/s11565-011-0117-5

Abstract

In this paper we extend the coupled contraction mapping theorem proved in partially ordered metric spaces by Gnana Bhaskar and Lakshmikantham (Nonlinear Anal. TMA 65:1379–1393, 2006) to a coupled coincidence point result for a pair of compatible mappings. A control function has been used in our theorem. The mappings are assumed to satisfy a weak contractive inequality. Our theorem improves the results of Harjani et al. (Nonlinear Anal. TMA 74:1749–1760, 2011). The result we have established is illustrated with an example which also shows that the improvement is actual.

Keywords

Partially ordered set Control function Compatible mapping Mixed monotone property Coupled coincidence point

Mathematics Subject Classification (2000)

54H10 54H25

Copyright information

© Università degli Studi di Ferrara 2011